Search a number
-
+
13222011022231 = 116717940313463
BaseRepresentation
bin1100000001100111110101…
…0001010010101110010111
31201211000022200101222220111
43000121331101102232113
53213112134310202411
644042035155143451
72533154521222024
oct300317521225627
951730280358814
1013222011022231
114238472585760
1215966208a4b87
1374baa41b84ab
14339d3d51654b
1517de051b5721
hexc067d452b97

13222011022231 has 8 divisors (see below), whose sum is σ = 14639295786624. Its totient is φ = 11840606884920.

The previous prime is 13222011022123. The next prime is 13222011022237.

13222011022231 is nontrivially palindromic in base 10.

13222011022231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13222011022231 - 29 = 13222011021719 is a prime.

It is a super-2 number, since 2×132220110222312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13222011022237) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8970155995 + ... + 8970157468.

It is an arithmetic number, because the mean of its divisors is an integer number (1829911973328).

Almost surely, 213222011022231 is an apocalyptic number.

13222011022231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13222011022231 is a deficient number, since it is larger than the sum of its proper divisors (1417284764393).

13222011022231 is a wasteful number, since it uses less digits than its factorization.

13222011022231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17940313541.

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 1322201 and 1022231, that added together give a palindrome (2344432).

The spelling of 13222011022231 in words is "thirteen trillion, two hundred twenty-two billion, eleven million, twenty-two thousand, two hundred thirty-one".

Divisors: 1 11 67 737 17940313463 197343448093 1202001002021 13222011022231